The instantaneous angular velocity of a rotating body ω = lim Δ t → 0 Δ θ Δ t = d θ d t is the derivative with respect to time of the angular position θ , found by taking the limit Δ t → 0 in the average angular… If the system’s angular velocity is not constant, then the system has an angular acceleration.

The average angular acceleration over a given time interval is the change in angular velocity over this time interval, α - = Δ ω Δ t . The angular position θ of a rotating body is the angle the body has rotated through in a fixed coordinate system, which serves as a frame of reference

given time interval — the change in angular velocity over this time interval, α - = Δ ω Δ t. angular position — angle a body has rotated through in a fixed coordinate system. instantaneous angular velocity — derivative of angular position with respect to time. angular acceleration — time rate of change of angular velocity.